Branes in the image WZNW model Original Research Article

We initiate a systematic study of boundary conditions in conformal field theories with target space supersymmetry. The WZNW model on image is used as a prototypical example for which we find the complete set of maximally symmetric branes. This includes a unique brane of maximal super-dimension image, a 2-parameter family of branes with super-dimension image and an infinite set of fully localized branes possessing a single modulus. Members of the latter family can only exist along certain lines on the bosonic base, much like fractional branes at orbifold singularities. Our results establish that all essential algebraic features of Cardy-type boundary theories carry over to the non-rational logarithmic WZNW model on image.